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Tradeoffs between quantization and packet loss in networked control of linear systems |
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| Authors: | Koji Tsumura Hideaki Ishii Hiroto Hoshina[Author vitae] |
| Affiliation: | aDepartment of Information Physics and Computing, The University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo 113-8656, Japan;bDepartment of Computational Intelligence and Systems Science, Tokyo Institute of Technology, 4259-J2-54, Nagatsuta-cho, Midori-ku, Yokohama 226-8502, Japan;cHitachi Global Storage Technologies Japan, Ltd., 1 Kirihara-cho, Fujisawa, Kanagawa 252-8588, Japan |
| Abstract: | In this paper, we consider to derive the coarsest memoryless quantizer which can stabilize a single-input discrete-time linear time-invariant system with stochastic packet loss in the sense of stochastic quadratic stability. We show that the upper bound of the coarseness is strictly given by the packet loss probability and the unstable poles of the plants. We furthermore deal with permissible dead-zone width around the origin of the quantizers and time-varying finite quantizers in order to realize control using finite quantization steps. |
| Keywords: | Networked control Quantization Packet losses Stochastic system Quadratic stability |
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